The number 83828
83828 is a composite number with 12 divisors. Its prime factorisation is × 19 × 1103. Divisors (12): 1, 2, 4, 19, 38, 76, 1103, 2206, 4412, 20957, 41914, 83828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83828 is composite. Its prime factorisation is
- 3
The divisors add up to 154560; without 83828 itself that is 70732, so 83828 is deficient (70732 is less than 83828). Euler's totient φ(83828) = 39672 numbers up to 83828 share no factor with it.
- 4
The digits of 83828 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83828 = 2^{2} \times 19 \times 1103 \]83828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 154560 |
| Euler totient φ(n) | 39672 |
| Square | 7027133584 |
| Cube | 589070554079552 |
| Square root | 289.530655 (= 2√20957) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3828 × |
83828 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and twenty-eight |
| Binary (base 2) | 10100011101110100 |
| Octal (base 8) | 243564 |
| Hexadecimal (base 16) | 14774 |
| Base 3 | 11020222202 |
| As time | 83828 seconds = 23 h 17 min 8 s |
Is 83828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83828 ÷ 2 = 41914) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83828 ÷ 4 = 20957) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83828 a prime number?
No. 83828 = × 19 × 1103, so it is divisible by 2.
What are the factors of 83828?
1, 2, 4, 19, 38, 76, 1103, 2206, 4412, 20957, 41914, 83828.
What is 83828 in binary?
10100011101110100 (hexadecimal 14774, octal 243564).
What is the square root of 83828?
About 289.5307, exactly 2√20957.
Is 83828 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 83828?
It is a composite number with 12 divisors.